Find the solution set of the system `x+2y+z=1` `2x-3y-w=2` `xgeq0,ygeq0,zgeq0,wgeq0`

Find the asymptotes of the curve x y-3y-2x=0 .

Solve the system : 2x+3y-z=0, x+y+z=0, 2x+y+2z=0 .

Solve the system: x+3y-2z=0,2x-y+4z=0,x-11y+14z=0 .

Find the solution of the differential equation log (dy/dx)=2x+3y given y=0 when x=0 .

Solve the system x+3y-4z =0 3x-y+2z=0 4x+2y-2z=0

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 2x-y+3z=0 7x+lambday-z=0 has non-trivial solutions. Find the solution.